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# A Fine Algebra Problem

I do not know which method to use to solve these types of questions

If the equation $$ax^2 -bx +c$$ has distinct roots in the interval (0,1) where $$a,b,c$$ are natural numbers, then find the wrong statement:

$\text{1) The minimum value of a must be 4 2) The minimum value of a must be 5 3) The minimum value of b must be 5 4) The minimum value of abc must be 25\}$

Any ideas guys?

Note by Nikhil Jaiswal
2 years, 3 months ago

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